Vector parallel to the line of intersection of two planes, each spanned by two given vectors: angle with another vector
The same question, asked 2 times: 26 Jul 2022*, 11 Apr 2023. Every wording below, oldest first.
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Question 1
26 Jul 2022
165
A vector a is parallel to the line of intersection of the plane determined by the vectors i,i+j and the plane determined by the vectors i−j,i+k. The obtuse angle between a and the vector b=i−2j+2k is
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Question 2
11 Apr 2023
78
Let a be a non-zero vector parallel to the line of intersection of the two planes determined by the vectors i+j,i+k and i−j,j−k. If θ is the angle between the vector a and the vector b=2i−2j+k and a⋅b=6 then the ordered pair (θ,∣a×b∣) is equal to